3. The air resistance of a free falling body with mass m is assumed to be proportional to its current speed v: Fr = cv, where c is a coefficient of proportionality. a) Describe the dependence of the speed with time v(t) if at time t=0, the speed is zero v(0) = 0. ANS: v(1) = (1-e-c/m)x) Mg

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Chapter4: Motion In Two Dimensions
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Problem 4.4OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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3. The air resistance of a free falling body with mass m is assumed to be proportional to its
current speed v: F = cv, where c is a coefficient of proportionality.
a) Describe the dependence of the speed with time v(t) if at time 1=0, the speed is zero
v(0) = 0.
ANS:
v(t) = (1-e-c/m)t) mg
Transcribed Image Text:3. The air resistance of a free falling body with mass m is assumed to be proportional to its current speed v: F = cv, where c is a coefficient of proportionality. a) Describe the dependence of the speed with time v(t) if at time 1=0, the speed is zero v(0) = 0. ANS: v(t) = (1-e-c/m)t) mg
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